Answer: 60
Step-by-step explanation:
Given
The ratio of chocolate chip to sugar cookies is 5:2
If she bakes 210 cookies in one day
Suppose she baked x amount of chocolate chips on that day
So, we can write

There were 60 sugar cookies on that day
Answer:
Parent function is compressed by a factor of 3/4 and shifted to right by 3 units.
Step-by-step explanation:
We are asked to describe the transformation of function
as compared to the graph of
.
We can write our transformed function as:


Now let us compare our transformed function with parent function.
Let us see rules of transformation.
,
,
Scaling of a function: 
If a>1 , so function is stretched vertically.
If 0<a<1 , so function is compressed vertically.
As our parent function is multiplied by a scale factor of 3/4 and 3/4 is less than 1, so our parent function is compressed vertically by a factor of 3/4.
As 3 is being subtracted from x, so our parent function is shifted to right by 3 units or a horizontal shift to right by 3 units.
Therefore, our parent graph is compressed by a factor of 3/4 and shifted to right by 3 units to get our new graph.
1. --> d
2. --> b
3. --> a
4. --> c
1 is d because that is the only piece of information that sounds like a given.
2 is b because we know that from the given, m∠1 is complementary to m∠2 and in the first problem, m∠1 + m∠2 = 90, they are added together. The definition of complementary angles is "Two angles with measures that, when added together, equal 90 degrees". Same thing with m∠3 and m∠2.
3 is a because since both of the problems equal 90 degrees, you can just take away the 90 and put an equal sign in between the two problems because they equal the same thing.
4 is c because you are subtracting m∠2 from the problems and ending up with just m∠1 = m∠3.
Hope this helps! :)
Answer:
{-1, 4}
Step-by-step explanation:
In the given f(x) = -1/2x^2 + 3/2x - 2
set f(x) = 0 and then multiply all the numeric terms by -2 to remove the fractions:
f(x) = -1/2x^2 + 3/2x - 2 = 0 => 1x^2 - 3x - 4 = 0
This factors into (x - 4)(x + 1) = 0, whose roots are {-1, 4}. These are the zeros.